Question 1: A simply supported beam is shown in the figure belo which is used to carry a load P. Consider the load P is a concentrated load working at a point of the beam. The location the load is also shown in the Fig which is the middle of the dista: in x-direction Develop the equat for (a) the elastic curve, and (b) t maximum displacement (c) If th

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
Section: Chapter Questions
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Question 1: A simply supported
beam is shown in the figure below
which is used to carry a load P.
Consider the load P is a
concentrated load working at a
point of the beam. The location of
the load is also shown in the Figure
which is the middle of the distance
in x-direction Develop the equation
for (a) the elastic curve, and (b) the
maximum displacement (c) If the
value of the applied load 10 kN and
Length of the beam in x and y
direction is 2 m and 0.3 m then
determine the value of maximum
displacement due to the effect of
load.
A
B
L
L.
2
2
Transcribed Image Text:Question 1: A simply supported beam is shown in the figure below which is used to carry a load P. Consider the load P is a concentrated load working at a point of the beam. The location of the load is also shown in the Figure which is the middle of the distance in x-direction Develop the equation for (a) the elastic curve, and (b) the maximum displacement (c) If the value of the applied load 10 kN and Length of the beam in x and y direction is 2 m and 0.3 m then determine the value of maximum displacement due to the effect of load. A B L L. 2 2
Question 2: Construct the shear
force and bending moment
diagrams for the beam shown in
Figure l and Figure 2 by using the
area method. Considering the
weight of the beam is very small
that may be neglected.
| 60 kN
40 kN
| 50 kN 16 kN | 4 kN/m
20 kN |
2 kN/m
E
В
D
+1.5 m+1.5 m→+1.5 m→-
- 2 m-
+ 4 m.
8 m
8 m
Figure 1
Figure 2
Question 3: The four gears are
attached to a steel shaft that is
rotating at 4Hz. Gear B supplies 70
kW of power to the shaft. Of that
power, 20 kW are used by gear A, 20
kW by gear C, and 30 kW by gear D.
(a) Find the uniform shaft diameter
if the shear stress in the shaft is not
to exceed 60 MPa. (b) If a uniform
shaft diameter of 100 mm is
specified, determine the angle by
which one end of the shaft lags
behind the other end.
-20 kW
+70 kW
-20 kW
-30 kW
B
C
D
- 2 m►|«–1.5 m→<–1.5 m→|
Transcribed Image Text:Question 2: Construct the shear force and bending moment diagrams for the beam shown in Figure l and Figure 2 by using the area method. Considering the weight of the beam is very small that may be neglected. | 60 kN 40 kN | 50 kN 16 kN | 4 kN/m 20 kN | 2 kN/m E В D +1.5 m+1.5 m→+1.5 m→- - 2 m- + 4 m. 8 m 8 m Figure 1 Figure 2 Question 3: The four gears are attached to a steel shaft that is rotating at 4Hz. Gear B supplies 70 kW of power to the shaft. Of that power, 20 kW are used by gear A, 20 kW by gear C, and 30 kW by gear D. (a) Find the uniform shaft diameter if the shear stress in the shaft is not to exceed 60 MPa. (b) If a uniform shaft diameter of 100 mm is specified, determine the angle by which one end of the shaft lags behind the other end. -20 kW +70 kW -20 kW -30 kW B C D - 2 m►|«–1.5 m→<–1.5 m→|
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